Construction and Analysis of Augmented and Modified Augmented Designs
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Date
2011-12
Authors
Eshetie, Aragaw
Journal Title
Journal ISSN
Volume Title
Publisher
Addis Abeba university
Abstract
The augmented block design is widely used in breeding programs, particularly
in screening and selection of a large number of germplasm lines with non-replicated
test treatments and replicated control treatments to estimate the experimental error. The
study establishes a relationship between augmented design via RIB design and designs
for test treatment(s) versus control treatment(s) and 2v balanced main effect plans
(saturated and unsaturated) obtained through BIB designs. The data used in this study
were obtained from an experiment of wheat which was conducted by using augmented
RIB design and a modified augmented BIB design from scientific journal. In these
design, we consider eight test treatments and four control treatment for augmented
design and thirteen test treatment and three control treatment for the modified
augmented BIB design. The construction and the analysis of modified augmented BIB
design can be considered by using the fixed and mixed model analysis, and in addition,
a method is proposed for finding A- and MV- Optimal designs such situations and
some sufficient conditions are given under which a design obtained using the proposed
method will be A-and MV-optimal. Some examples are also given to show how the
results obtained can be applied. The results were obtained using excel and SAS. We
have seen in this study that when block is greater than two, the modified augmented
BIB design is more efficient than augmented RIB designs.
Key words: Augmented Design, Modified Augmented Block Design, Fixed Effect
Model and Random Effect Model
Description
Keywords
Augmented Design, Modified Augmented Block Design, Fixed Effect Model and Random Effect Model